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Emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at Delta=1/2

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arxiv hep-th/0201134 v1 pith:BS4KG72Y submitted 2002-01-17 hep-th cond-matnlin.SI

N. Kitanine , J.M. Maillet , N.A. Slavnov , V. Terras This is my paper · ORCID
classification hep-thcond-matnlin.SI
keywords chaindeltaemptinessformationheisenbergprobabilityspin-1alternating
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Using a multiple integral representation for the correlation functions, we compute the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at anisotropy Delta=1/2. We prove it is expressed in term of the number of alternating sign matrices.

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  1. Emptiness formation probability and Painlev\'e V equation in the XY spin chain

    cond-mat.stat-mech 2019-09 conditional novelty 6.0 of 10

    The emptiness formation probability of the XY chain, in the double-scaling limit near its critical lines, is governed by a Painleve V tau function; the result is exact at the Ising point and numerically supported elsewhere.

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